A new proof of a Thomae-like formula for non hyperelliptic genus 3 curves

We discuss Weber’s formula which gives the quotient of two Thetanullwerte for a plane smooth quartic in terms of the bitangents. In particular, we show how it can easily be derived from the Riemann-Jacobi formula.

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Bibliographic Details
Published inArithmetic, Geometry, Cryptography and Coding Theory Vol. 686; pp. 137 - 155
Main Authors Nart, Enric, Ritzenthaler, Christophe
Format Book Chapter
LanguageEnglish
Published Providence, Rhode Island American Mathematical Society
SeriesContemporary Mathematics
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ISBN9781470428105
1470428105
ISSN0271-4132
1098-3627
DOI10.1090/conm/686/13781

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Summary:We discuss Weber’s formula which gives the quotient of two Thetanullwerte for a plane smooth quartic in terms of the bitangents. In particular, we show how it can easily be derived from the Riemann-Jacobi formula.
ISBN:9781470428105
1470428105
ISSN:0271-4132
1098-3627
DOI:10.1090/conm/686/13781